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Finding the Third Proportional to 16,129.50 and 34,216

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Solution

The third proportional to 16,129.50 and 34,216 is: 72,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.50 : 34,216 = 34,216 : x
  2. Step 2: Convert to fraction form
    16,129.50/34,216 = 34,216/x
  3. Step 3: Cross multiply
    16,129.50x = 34,216 × 34,216
  4. Step 4: Simplify right side
    16,129.50x = 1,170,734,656
  5. Step 5: Solve for x
    x = 1,170,734,656/16,129.50
  6. Step 6: Final answer
    x = 72,583.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.